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Simplifying -6(6 + -8a) + -3(8 + -2a) = -6 (6 * -6 + -8a * -6) + -3(8 + -2a) = -6 (-36 + 48a) + -3(8 + -2a) = -6 -36 + 48a + (8 * -3 + -2a * -3) = -6 -36 + 48a + (-24 + 6a) = -6 Reorder the terms: -36 + -24 + 48a + 6a = -6 Combine like terms: -36 + -24 = -60 -60 + 48a + 6a = -6 Combine like terms: 48a + 6a = 54a -60 + 54a = -6 Solving -60 + 54a = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 54a = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 54a = -6 + 60 54a = -6 + 60 Combine like terms: -6 + 60 = 54 54a = 54 Divide each side by '54'. a = 1 Simplifying a = 1
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